An someone me solve
an architect is planning to make two triangular prisms out of iron. the architect will use ∆pqr for the bases of one prism and ∆xyz for the bases of the other prism.

(a)what is the scale factor from ∆pqr to ∆xyz?

(b) suppose the height of the prism made by ∆pqr is 15 inches. what is the volume of the prism made by ∆pqr? remember to show your work.

(c) suppose the volume of the prism made by ∆pqr is 7776 〖"in" 〗^3. what is the volume of the prism made by ∆xyz? remember to show your work.

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667  (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)

step-by-step explanation:

for exempl this   system of equations   y = x - 3

                                                                y = 2x - 5

look   the line : y = x -3     ( red)

                            the line : y = 2x -5 ( bleus)